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06/17/2023
FP-IRL: Fokker-Planck-based Inverse Reinforcement Learning – A Physics-Constrained Approach to Markov Decision Processes
Inverse Reinforcement Learning (IRL) is a compelling technique for revea...
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11/13/2022
High Order Schemes for Gradient Flow with Respect to a Metric
New criteria for energy stability of multi-step, multi-stage, and mixed ...
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05/13/2022
A fourth-order phase-field fracture model: Formulation and numerical solution using a continuous/discontinuous Galerkin method
Modeling crack initiation and propagation in brittle materials is of gre...
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05/04/2022
Numerical analysis of non-local calculus on finite weighted graphs, with application to reduced-order modelling of dynamical systems
We present an approach to reduced-order modelling that builds off recent...
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04/28/2021
Reduced order models from computed states of physical systems using non-local calculus on finite weighted graphs
Partial differential equation-based numerical solution frameworks for in...
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04/16/2021
Li_xCoO_2 phase stability studied by machine learning-enabled scale bridging between electronic structure, statistical mechanics and phase field theories
Li_xTMO_2 (TM=Ni, Co, Mn) are promising cathodes for Li-ion batteries, w...
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01/13/2021
Bayesian neural networks for weak solution of PDEs with uncertainty quantification
Solving partial differential equations (PDEs) is the canonical approach ...
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07/24/2020
High order, semi-implicit, energy stable schemes for gradient flows
We introduce a class of high order accurate, semi-implicit Runge-Kutta s...
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07/02/2020
System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19
We extend the classical SIR model of infectious disease spread to accoun...
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12/31/2019
Machine learning materials physics: Multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures
Many important multi-component crystalline solids undergo mechanochemica...
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11/12/2019
Second Order Threshold Dynamics Schemes for Two Phase Motion by Mean Curvature
The threshold dynamics algorithm of Merriman, Bence, and Osher is only f...
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08/27/2019